Institute of Fundamental and Interdisciplinary Mathematics Study
Scientific research activities at the Institute are conducted in accordance with the following four research programmes:
- Nonlinear dynamics and global analysis;
- Principles of mathematics and combinatorics;
- Mechanics of Continua;
- Functional-differential and ordinary differential equations.
Programmes are developed considering existing research potential specificity and maximum coordination. The approximate duration of programmes is 10-15 years.
Main areas of research:
- Nonlinear dynamics and global analysis;
- Geometry and topology of mechanisms and nanostructures;
- Size theory and descriptive set theory;
- Combinatorial and discrete geometry;
- Mathematical models of the theory of elasticity;
- Boundary Value Problems for functional-differential equations.
Main areas of research at the Institute are based on the following four principles:
- Active researches in this field are being conducted in many of the world’s leading mathematical centers;
- Members of the department have sufficient research qualifications, experience and significant results;
- All the aforementioned areas are based on fundamental mathematical theories, yet are promising in terms of practical application;
- Members of the department have constant contact and cooperation with leading international experts in these fields.
- Study in the field of Nonlinear Dynamics and global analysis will include study methods of non-linear systems of mathematical modeling and stability, analytical and qualitative research methods of mathematical physics nonlinear integrated models, algorithmic calculation methods of non-linear system real number solutions to equations, algebraic methods of calculating topological invariants of non-linear plural system solutions, non-linear dynamic systems sustainability and bifurcation issues, algorithmic methods for checking the stability of complex systems, the study of nodes and entangled quantum systems dynamics.
- Study field of Geometry and topology of mechanisms and nanostructures will study the following: configuration spaces mechanisms and robots, extreme tasks of configuration spaces, kinematic features of mechanisms, configuration spaces of tensegrity type systems and nanostructures, sustainable configurations geometry of tensegrity type systems, connections among nanostructure geometry, topography and physical qualities.
- Size theory and descriptive set theory will study further exploration and generalization of notions of measurability of sets and functions (Universal measurability, relative measurability and absolute non-measurability); classification of functions and sets based on these concepts; connections of notions of measurability with features of topography and other issues; Descriptive exotic structure functions and point-sets in terms of size and Barry category.
- Combinatorial and discrete geometry will study: a convex polyhedron combinatorial structure in Euclidean space, the establishment of symmetry criteria for Polyhedron and for more general geometric shapes, main features of discrete point systems and their use in practical problems.
- Mathematical models of the theory of elasticity will study: a matter of three-dimensional equation statics, sustainable fluctuation and dynamics for microstructural solids (mixtures, composites, porous materials, etc.) and resonant processes in these solids, within theories of elasticity, thermoelasticity and micropolar; the existence of individual frequencies of sustainable fluctuation inner boundary equations; key features of flat waves.
- Boundary Value Problems for functional-differential equations examines: boundary theory of linear and nonlinear ordinary differential and functional-differential equations (Cauchy, Cauchy-Nicoletti, Dirichlet, Neumann, periodicals and general boundary value problems), as well as sustainability and correctness issues, asymptotic theory and connection between them, more specifically – nonlinear equations are studied both in cases of resonance and non-resonance, regular and singular equations will also be studied.
Publications
2025
- Giorgadze, G., Khimshiashvili, G., Triangular electrostatic ion traps revisited, Physics of particles and nuclei, 56 (2025), 1022-1024.
- Khimshiashvili, G. On the abstract singular operators in the sense of B.Bojarski. Trans. A. Razmadze Math. Inst. 179 (2025), no. 2, 301-307.
- Transactions of A. Razmadze Mathematical Institute (vol.179, issue 2, pp.277–289, 2025);
- Journal of Thermal Stresses (ონლაინ 27.06.2025), DOI: https://doi.org/10.1080/01495739.2025.2517156;
2024
- Khimshiashvili, Giorgi. A note on three collinear point charges. Geometric methods in physics XL, 403--412, Trends Math., Birkhäuser/Springer, Cham, [2024], ©2024. MR4807471
- Giorgadze, Grigori; Khimshiashvili, Giorgi. On topological aspects of numerical range. Analysis without borders, 95--108, Oper. Theory Adv. Appl., 297, Birkhäuser/Springer, Cham, [2024], ©2024. MR4786517
- Elashvili, Alexander; Jibladze, Mamuka; Khimshiashvili, Giorgi. Remarks on invertible binomial singularities. Bull. Georgian Natl. Acad. Sci. (N.S.) 18 (2024), no. 1, 7--16. MR4767801
- M. Svanadze, Potential method in the coupled theory of thermoelastic triple-porosity nanomaterials, J. Thermal Stresses, vol. 47, Issue 10, pp. 1277-1296, 2024.
- M. Svanadze, Uniqueness theorems in the steady vibration problems of the Moore-Gibson-Thompson thermoporoelasticity. Georgian Mathematical J., 2024.
2023
- G.Giorgadze, G.Khimshiashvili, On the index of the gradient of a real invertible polynomial. Proc. Steklov Inst. Math. v.321(2023), 84-96.
- G.Giorgadze, G.Khimshiashvili, Three point charges on a flexible arc, J. Math. Sci. v.275(2023), 712-717
- G.Khimshiashvili, D.Siersma, Hooke and Coulomb energy of tripod spiders. arXiv: 2301.09314.
- M. Svanadze, External problems of steady vibrations in the theory of elastic materials with a triple porosity structure, PAMM-Proceedings in Applied Mathematics and Mechanics, vol. 22, Issue 1, e202200014 (6 pages), 2023. DOI: https://doi.org/10.1002/pamm.202200014.
- M. Svanadze, On the coupled linear theory of thermoelasticity for nanomaterials which triple porosity. Mechanics Research Communications, vol. 132, paper number 104161 (5 pages), 2023. DOI: https://doi.org/10.1016/j.mechrescom.2023.104161.
- M. Svanadze, Fundamental Solution in the coupled theory of thermoelastic nanoporous materials with triple porosity, PAMM-Proceedings in Applied Mathematics and Mechanics, 2023, e202300127. DOI: https://doi.org/10.1002/pamm.202300127 (in press).
2022
- G.Giorgadze, G.Khimshiashvili, Incenter of triangle as a stationary point, Georgian Math. J. vol. 29, No.4, 515-525.
- G.Giorgadze, G.Khimshiashvili, Riemann-Hilbert problems with coefficients in compact Lie groups, In: “Mechanics and Physics of Structured Media”, Chapter 15, 303-326, Academic Press, 2022.
- G.Khimshiashvili, D.Siersma, Morse functions on spider linkages, Proc. I.Vekua Institute of Applied Mathematics, vol. 72, 2022. 8 pp. (accepted)
- G.Giorgadze, G.Khimshiashvili, On the index of gradient of real invertible polynomial, Proceedings of the Steklov Institute of Mathematics, vol. 321, 2023. 12 pp.
- M. Svanadze, Steady vibration problems in the coupled theory of elastic triple-porosity materials, Trans. A. Razmadze Math. Inst., vol. 176, Issue 1, pp. 83-98, 2022 (Scopus index 1.3).
- M. Svanadze, On the coupled theory of thermoelastic double-porosity materials, J. Thermal Stresses, vol. 45, Issue 7, pp. 576-596, 2022 (Impact factor 3.456)
- M. Svanadze, External problems of steady vibrations in the theory of elastic materials with a triple porosity structure, PAMM-Proceedings in Applied Mathematics and Mechanics, 2022 (in press). DOI:10.1002/pamm.202200014
2021
- G.Khimshiashvili, G.Panina, D.Siersma, Area-perimeter duality in polygon spaces, Mathematica Scandinavica 127(2021), no.2, 252-263.
- G.Giorgadze, G.Khimshiashvili, Triangles and electrostatic ion traps. J. Math. Phys. 62 (2021), no. 5, Paper No. 053501, 10 pp.
- G.Giorgadze, G.Khimshiashvili, On equilibrium points of three point charges, Bull. Georgian Natl. Acad. Sci. 15 (2021), no.3, 7-13.
- M. Svanadze, Potential method in the coupled theory of elastic double-porosity materials, Acta Mechanica, vol. 232, issue 6, pp. 2307–2329, 2021.
- S.Mukhigulashvili, Some two-point boundary value problems for systems of higher order functional differential equations, Mathematica Scandinavica 127(2021), no.2, 382-404.
- S.Mukhigulashvili, V.Novotná, The periodic problem for the second order integro-differential equations with distributed deviation. Math. Bohem. 146 (2021), no. 2, 167--183.
- T. Aliashvili, On the Stable Polynomial Mappings. Proceedings of I.Vekua Institute of Applied Mathematics. V.70. (2020).
- თ. ალიაშვილი, ეილერის მახასიათებელი და ფერთა პრობლემა. მათემატიკა - სამეცნიერო პოპულარული ჟურნალი, N7 (2021) ივ. ჯავახიშვილის სახ. თბილისის სახელწიფო უნივერსიტეტი
- M. Svanadze, Potential method in the coupled theory of elastic double-porosity materials, Acta Mechanica, vol. 232, issue 6, pp. 2307–2329, 2021. (Impact factor 2.698).
2020
- Svanadze, Potential Method in the coupled theory of elastic double-porosity materials, Acta Mechanica, 2020
- Svanadze, Potential Method in the coupled linear theory of porous elastic solids, Mathematics and Mechanics of Solids, vol. 25(3), pp. 768-790, 2020
- G.Khimshiashvili, Isoperimetric duality in polygon spaces, Bull. Georgian Natl. Acad. Sci. vol.14 (2020), no.1, 18-22.
- G.Khimshiashvili, G.Panina, D.Siersma, Extremal areas of polygons with fixed perimeter. J. Math. Sci. (N.Y.) vol.247 (2020), no. 5, 731-737.
- G.Giorgadze, G.Khimshiashvili, On three point charges on a flexible arc. Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., vol.177 (2020), 63–68.
- G.Giorgadze, G.Khimshiashvili, On area foliation in spaces of triangles, Bull. Georgian Natl. Acad. Sci. vol.15 (2020), no.2, 7-13.
- G.Khimshiashvili, Dual extremal problems in polygon spaces, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics vol.34, 2020, 46-49.
- G.Khimshiashvili, Symmetric foliations in spaces of triangles, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics vol.34, 2020, 50-53.
- G.Khimshiashvili, G.Panina, D.Siersma, Area-perimeter duality in polygon spaces. Math. Scand. 2021. 10 pp.
- G.Giorgadze, G.Khimshiashvili, On stable equilibrium points of three point charges. Proc. I. Vekua Institute of Applied Mathematics
2019
- G.Khimshiashvili, Remarks on quadratic mappings. J. Math. Sci. (N.Y.) 23, 2019, no.1, 135–146.
- G.Khimshiashvili, G.Giorgadze, Equilibria of three-point charges with quadratic constraints. J. Math. Sci. (N.Y.) 237, 2019, no. 1, 110–125.
- G.Khimshiashvili, G.Panina and D.Siersma, Extremal areas of polygons with a fixed perimeter. Zapiski V.Steklov Math. Inst. SPb. Branch 481, 2019, 136-145.
- G.Khimshiashvili, D.Siersma, Connecting cycles for concentric circles, Bull. Georgian Natl. Acad. Sci. 13, No.1, 2019, 13-21.
- G.Khimshiashvili, N.Machavariani , Milnor algebras of invertible polynomials, Bull. Georgian Natl. Acad. Sci. 13, No.2, 2019, 11-16.
- G.Khimshiashvili, Extremal problems in Kendall shape spaces, Bull. Georgian Natl. Acad. Sci. 13, No.4, 2019, 7-11.
- M. Svanadze, Fundamental solutions in the linear theory of thermoelasticity for solids with tripleporosity, Mathematics and Mechanics of Solids, vol. 24(4), pp. 919–938, 2019.
- M. Svanadze, On the linear theory of double porosity thermoelasticity under local thermal non equilibrium, J. Thermal Stresses, vol. 42(7), pp. 890-913, 2019.
- M. Svanadze, Potential method in the theory of thermoelasticity for materials with triple voids, Archivesof Mechanics, vol. 71, N 2, pp. 113-136, 2019.
- G.Rakviashvili, On algebraic K-functors of crossed restricted enveloping algebras of Lie p- algebras. Bull. Georgian Natl. Acad. Sci. 13, No. 4, 2019, 12-19.
- S.Mukhigulashvili, V.Novotna, Some two-point problems for second-order integro-differential equations with argument deviations, Topol. Methods Nonlinear Anal. (2019).
- S.Mukhigulashvili, M.Manjikashvili, Dirichlet BVP For The Second-Order Nonlinear Ordinary Differential Equations At Resonance. Mathematical Modelling and Analysis, 24, No.4, 2019, 585-597.
2018
- G.Khimshiashvili, On equilibrium concyclic configurations, Doklady Mathematics 98, No.1, 377-381, 2018. (with G.Giorgadze)
- G.Khimshiashvili, Regular stars as critical points, Bull. Georgian Natl. Acad. Sci. vol.12, No.4, 13-18, 2018. (with G.Panina and D.Siersma)
- G.Khimshiashvili, Equilibria of point charges in a line segment, Proc. I.Vekua Inst. Appl. Math. 68, 23-32, 2018. (with G.Giorgadze)
- G.Khimshiashvili, Three-point charges on flexible contour, Proc. I.Vekua Inst. Appl. Math. 68, 33-38, 2018. (with G.Giorgadze and I.Murusidze)
- M. Svanadze, Potential method in the theory of elasticity for triple porosity materials, J. Elasticity, vol. 130, Issue 1, pp. 1-24, 2018.
- M. Svanadze, Steady vibrations problems in the theory of elasticity for materials with double voids, Acta Mechanica, vol. 229, pp. 1517–1536, 2018.
- M. Svanadze, Potential method in the linear theory of triple porosity thermoelasticity, J. Math. Anal. Appl., vol. 461, pp. 1585–1605, 2018.
- M. Svanadze, On the linear equilibrium theory of elasticity for materials with triple voids, Quart. J. Mech. Appl. Math., vol. 71, pp. 329-248, 2018.
- S.Mukhigulashvili, The mixed BVP for the second-order nonlinear ordinary differential equation at resonance. Miskolc Math. Notes 18, no. 2, 975-992, 2018.
- G.Rakviashvili. On algebraic K-functors of crossed group rings and its applications. Tbilisi Mathematical Journal 11(2) (2018), pp. 1-15.
- G.Rakviashvili, Inductive theorems and projective modules over crossed group rings, Bull. Georgian Natl. Acad. Sci. 12, No.1, 16-19, 2018.
- G. Rakviashvili, The Measuring of the Gini, Theil and Atkinson Indices for the Georgia Republic and Some other Countries. Globalization and Business, 2018, No. 5, 110-118.
- T.Aliashvili, On stable endomorphisms of the plane, Proc. I.Vekua Inst. Appl. Math. 68, 3-9, 2018.
2017
- M. Svanadze, Boundary value problems of steady vibrations in the theory of thermoelasticity for materials with double porosity structure, Archives of Mechanics, vol. 69, No. 4-5, pp. 347-370, 2017.
- M. Svanadze, Potential method in the linear theory of triple porosity thermoelasticity, J. Math. Anal. Appl., 2017
- B. Straughan, M. Svanadze, On the linear theory of double porosity thermoelasticity under local thermal non-equilibrium, J. Elasticity, 2017
- M. Svanadze, Fundamental solutions in the linear theory of thermoelasticity for solids with triple porosity, Mathematics and Mechanics of Solids, 2017
- M. Svanadze, On the linear equilibrium theory of elasticity for materials with triple voids, Quart. J. Mech. Appl. Math. 2017
- G.Khimshiashvili, G.Panina, D.Siersma, V.Zolotov, Point charges and polygonal linkages, J. Dyn. Control Syst., vol.23, No.41, 2017, 1-17.
- G.Khimshiashvili, Discrete invariants of quadratic endomorphisms, Bull. Georgian Natl. Acad. Sci. vol.11, No.3, 2017, 7-13.
- G.Khimshiashvili, Equilibria of point charges on elastic contour, Bull. Georgian Natl. Acad. Sci. vol.11, No.4, 2017, 9-15.
- G.Khimshiashvili, Extremal problems for bicentric quadrilaterals, Transactions of Ajara Regional Scientific Center of Georgian National Academy of Sciences, vol.2, 2017, 9-16.
- G.Khimshiashvili, Concyclic and aligned configurations of point charges, Proc. I.Vekua Inst. Appl. Math. 67, 2017, 35-46. (with G.Giorgadze)
- M. Svanadze, Potential method in the theory of elasticity for triple porosity materials, J. Elasticity, 2017
- M. Svanadze, Steady vibrations problems in the theory of elasticity for materials with double voids, Acta Mechanica, 2017
- M. Svanadze, External boundary value problems in the quasi-static theory of thermoelasticity for triple porosity materials, PAMM-Proceedings in Applied Mathematics and Mechanics, vol. 17, Issue 1, 2017
- M. Svanadze,Potential method in the linear theory of triple porosity thermoelasticity, J. Math. Anal. Appl., 2017
- S.Mukhigulashvili, The mixed BVP for second order nonlinear ordinary differential equation at resonance. Math. Nachr. 290(2017), no. 2-3, 393–400.
- S.Mukhigulashvili, On one two-point BVP for the fourth order linear ordinary differential equation. Georgian Math. J. 24 (2017), no. 2, 265–275. (with M.Manjikashvili)
- T.Aliashvili, On the complex points of random polynomials, Bull. Georgian Natl. Acad. Sci. 11, No.1, 2017, 12 – 15.
2016
- G.Khimshiashvili, G.Panina, D.Siersma, Equilibria of three constrained point charges, J. Geom.Phys. 106, No.1, 2016, 42–50.
- G.Khimshiashvili, Configurations of points as Coulomb equilibria, Bull. Georgian Natl. Acad. Sci. v.10, No.1, 2016, 20-27.
- G.Khimshiashvili, Remarks on homogeneous endomorphisms, Proc. I. Vekua Inst. Appl. Math. 66, 2016, 15-24.
- G.Khimshiashvili, N.Sazandrishvili, Extremal problems for sliding polygons, Proc. I. Vekua Inst.Appl. Math. 66, 2016, 25-32.
- M.Svanadze, Plane waves, uniqueness theorems and existence of eigenfrequencies in the theory of rigid bodies with a double porosity structure, In: B. Albers and M. Kuczma (eds), Continuous Media with Microstructure 2, pp. 287-306, Springer, 2016.
- M.Svanadze, Fundamental solutions in the theory of elasticity for triple porosity materials, Meccanica,vol. 51, pp. 1825-1837, 2016.
- M.Svanadze, On the linear theory of thermoelasticity for triple porosity materials, In: M. Ciarletta, V. Tibullo, F. Passarella (eds), Proceedings of the 11th International Congress on Thermal Stresses, 5-9 June, 2016, Salerno, Italy, pp. 259-262, 2016.
- M.Svanadze, External boundary value problems in the quasi-static theory of elasticity for triple porosity materials, PAMM-Proceedings in Applied Mathematics and Mechanics, vol. 16, Issue 1, pp. 495-496, 2016.
- G.Rakviashvili, On Regular Cohomologies of Biparabolic Subalgebras of sl(n), Bull. Georgian Natl.Acad. Sci. v.10, No.2, 2016, 20-24.
- T.Aliashvili, Topological invariants of random polynomials, Bull. Georgian Natl. Acad. Sci. v.10, No.4, 2016, 7-16.
2015
- G.Khimshiashvili, Equilibria of point charges on convex curves, J. Geom. Phys. 98, 2015, 110-117. (with G.Panina and D.Siersma) 2014
- G.Khimshiashvili, Point charges and polygonal linkages, J. Dynam. Contr. Syst. 12 p., published online June 2015. (with G.Panina and D.Siersma) 2014
- G.Khimshiashvili, On non-degeneracy of certain constrained extrema, Doklady Math. 465, No.3, 2015, 1-5. (with G.Giorgadze) 2014/2015
- G.Khimshiashvili, Cross-ratios of quadrilateral linkages, J. Sing. 13, 2015, 159-168. (with D.Siersma) Remarks on bicentric quadrilaterals, Proc. A.Razmadze Math. Inst. 168, 2015, 41-52.
- G.Khimshiashvili, Equilibria of point charges in convex domains, Bull. Georgian Natl. Acad. Sci. 9, No.2, 2015, 19-26. (with G.Giorgadze)
- G.Khimshiashvili, Equilibria of point charges on nested circles, Bull. Georgian Natl. Acad. Sci. 9, No.3, 2015, 43-49. (with G.Giorgadze)
- E.Scarpetta, M.Svanadze, Uniqueness theorems in the quasi-static theory of thermoelasticity for solids with double porosity, J. Elasticity, vol. 120, No 1, pp. 67-86, 2015 Impact factor – 1. 656.
- M.Svanadze, External boundary value problems of steady vibrations in the theory of rigid bodies with a double porosity structure, PAMM-Proceedings in Applied Mathematics and Mechanics, vol. 15, Issue 1, pp. 365-366, 2015
2014
- G.Khimshiashvili, G.Panina, D.Siersma, Coulomb control of polygonal linkages, J. Dyn. Control Syst., vol.20, No.4, 2014, 491-501.
- G.Khimshiashvili et. al., Proc. of 98th European Study Group with Industry, The Mathematics of French Fries, 24-33, Delft Technical University, 2014. (ISBN: 978-94-6186-306-5)
- G.Khimshiashvili, Cross-ratios of poristic quadrilaterals, Proc. I.Vekua Inst. Appl. Math., vol.64, 2014, 37-46.
- G.Rakviashvili, Primitive elements of free Lie p-algebras, Bull. Georgian Natl. Acad. Sci., vol. 8, no. 2, 2014, 15–18.
- M.Svanadze, Uniqueness theorems in the theory of thermoelasticity for solids with double porosity, Mecanicca, vol. 49, Issue 9, pp. 2099-2108, 2014.
- M.Svanadze, E. Scarpetta, V. Zampoli, Fundamental solutions in the theory of thermoelasticity for solids with double porosity, J. Thermal Stresses, vol. 37, No 6, pp. 727-748, 2014
- M.Svanadze, M. Ciarletta, F. Passarella, Plane waves and uniqueness theorems in the coupled linear theory of elasticity for solids with double porosity, J. Elasticity, vol. 114, Issue 1, pp. 55-68, 2014.
- M.Svanadze, On the theory of viscoelasticity for materials with double porosity, Discrete and Continuous Dynamical Systems – Series B (DCDS-B), vol. 19, No 9, pp. 2335-2352, 2014.
- M.Svanadze, A.Scalia, Potential method in the theory of thermoelasticity with microtemperatures for microstretch solids, Transaction of Nanjing University of Aeronautics and Astronautics, vol. 31, Issue 2, pp, 159-163, 2014.
- M.Svanadze, Basic theorems in thermoelastostatics of bodies with microtemperatures, In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 355-365, 2014.
- M.Svanadze, Fundamental solutions in thermoelasticity theory, In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 7 Volumes, 1st Edition, Springer, 11 Volumes, 1st Edition, Springer, pp. 1901-1910, 2014.
- M.Svanadze, Fundamental solutions in thermoelastostatics of micromorphic solids, In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 1910-1916, 2014.
- M.Svanadze,Large existence of solutions in thermoelasticity theory of steady vibrations, In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 2677-2687, 2014.
- M.Svanadze, Potentials in thermoelasticity theory, In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 4013-4023, 2014.
- M.Svanadze, A. Scalia, Representations of solutions in thermoelasticity theory, In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 4194-4203, 2014.
- M. Ciarletta, F. Passarella, M. Svanadze, Plane waves and uniqueness theorems in the coupled linear theory of elasticity for solids with double porosity, Elasticity, vol. 114, Issue 1, pp. 55-68, 2014.
2013
- G.Khimshiashvili, Complex geometry of polygonal linkages, J. Math. Sci. 189, No.1, 2013, 132-149.
- G.Khimshiashvili, On Poncelet porism for biquadratic curves, Bull. Georgian Natl. Acad. Sci. 7, No.1, 2013, 5-10.
- G.Khimshiashvili, Equilibria of constrained point charges, Bull. Georgian Natl. Acad. Sci. 7, No.2, 2013, 15-20.
- G.Khimshiashvili, G.Giorgadze, Cyclic configurations of spherical polygons, Doklady Akad. Nauk 450, No.3, 2013, 264-267.
- G.Khimshiashvili, D.Siersma, Critical configurations of planar multiple penduli, J. Math. Sci. 195, No.2, 2013, 198-212.
- G.Khimshiashvili, G.Khimshiashvili, G.Panina, D.Siersma and A.Zhukova, Critical configurations of planar robot arms, Centr. Eur. J. Math. 11, No.3, 2013, 519-529.
- M.Svanadze, A.Scalia, Mathematical problems in the coupled linear theory of bone poroelasticity, Comp. Math. Appl., vol. 66, No 9, pp. 1554-1566, 2013.
- M.Svanadze, S. De Cicco, Fundamental solutions in the full coupled linear theory of elasticity for solid with double porosity, Archives of Mechanics, vol. 65, No 5, pp. 367-390, 2013.
- M.Svanadze, Fundamental solution in the linear theory of consolidation for elastic solids with double porosity, J. Math. Sci., vol. 195, Issue 2, pp. 258-268, 2013.
- M.Svanadze, A.Scalia, Potential method in the theory of thermoelasticity with microtemperatures for microstretch solids, Proceedings of the 10th International Congress on Thermal Stresses, 31.05 – 4.06, 2013, Nanjing, China, CD of Papers, 4p.
- S.Mukhigulashvili, Nonlocal boundary value problem for strongly singular higher-order linear functional-differential equations. Electron. J. Qual. Theory Differ. Equ. 2013, No. 33, 38 pp.
- S.Mukhigulashvili, The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Czechoslovak Math. J. 63(138) (2013), no. 1, 235-263.
Staff
Professors:
- Sulkhan Mukhigulashvili
- Merab Svanidze
- Giorgi Khimshiashvili (Head of the Institute)
Associate professor:
- Giorgi Rakviashvili
Contacts
Sulkhan Mukhigulashvili
E219
599 724 106
mukhig@iliauni.edu.ge
Giorgi Rakviashvili
E219
597 330 982
giorgi.rakviashvili@iliauni.edu.ge
Merab Svanidze
E217
577 553384
svanadze@iliauni.edu.ge
Giorgi Khimshiashvili
F307
599 938241
giorgi.khimshiashvili@iliauni.edu.ge
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